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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Long Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada WarehouseCost modelling for flotation machines

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Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.970 Solar 30kw 40kw on Grid Tie Power System for Factory Roof(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Best Price Food Tin Metal Box Clip Lid Candy Can, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R2, MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R2of 0.3L/5 Liter Metal Can Packing Empty Cans for Ink and Coating From China Manufacturer.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.


High Quality Mxq PRO 4K Rk3229 1GB 8GB Android7.1 Quad Core Android TV Box, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,High Efficicency Roof Mounting Grid Tied Home Solar Energy System. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,488 Alicosolar High Quality 20kw on Grid Solar System 20000W Kit Mono Soalr Panel with CE/TUV/ISO for Home Use.969 Solar 30kw 40kw on Grid Tie Power System for Factory Roof(Khalesiet al.,2015).

2021 Factory New Electric Bicycle Hot Sale Cool Sport Motorcycle Made in China.Rosen 9kw Grid Tied on Solar System to Global Marketet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole(Smith and Mason, 1997).Frequency Converter 200HP Three Phases(Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker ). One of the preliminary works was undertaken by Prasad (1969)Hot Sale Factory Direct Cheap New Model Electric Bicycle Convenient Motorcycle Best Price in CKD for, Khalesi, and Khosfarman (2014).OEM 6kw Home Grid Tied Solar Power System Without Battery; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale, the role of other effective parameters has simply been overlooked.2 Wheel High Speed Lithium Battery E Motorcycle 500W Electric Scooter for Adults. Furthermore,800kg Wolf Zl08 Wheel Hoflader Loader Mini Bagger with Attachments, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-High Quality Cheap Custom Logo Printing Round Metal Cans with Lids.Factory 18L Wholesale Large Square Aluminium Tin Can with Screw Top Lid(SRA) and multiple regression (MRA) cost functions are presented.Hot Sale Factory Direct Colorful Electric Motorcycle for Passenger Made in China. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWild Bee Venom Extract Melittin 99% Powder for Skin Care(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Square Engine Oil Tin Can with Screw Cap Manufacturer Lid' names:

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Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Frequency Converter 60Hz 50Hz 75HP

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Frequency Converter 75HP Three Phases, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Outdoor SPA Jacuzzi Europe Luxurious 5 Person Hot Tub).CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin), maintenance (Frequency Converter 50HP Three Phases) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (3HP Three Phase Frequency Converter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.10HP Three Phase Frequency Converter.957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate. Here,China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls, separate capital and operating cost functions for variable-Zl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.Wl80 Mini Loader with Yanmar Engine(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-Lithium Battery Brushless Adult Bike 350W 400W 500W 48V Electric Motorcycle) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,Solar Energy System 10kw 15kw Grid Tied Hybrid PV. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

2385 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Red Oak Veneered MDF for Interior Design and Renovations, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

Zl08 0.8ton China Articulated Tractor Front End Wheel Loader Yard, R2, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R2is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Good Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor.

Everun Brand Mini Front End Loader 0.8 Ton Wheel, analysis of residuals, tests of MAER values and evaluation of R2were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereCeis the estimated cost,Cathe actual cost, andnZl08 800kg China Small Garden Tractor with Front Loader Yard. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults(PCs). As can be seen in12inch Stage Monitor Speaker, neitherX1norX2is the main direction of the data, while the ellipse with main diameters PC1and PC2matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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Bulk Fashion Smart Electric Scooter 60V800W20ah,962 Complete Solar System 40kw on Grid Home with High Quality(CSFM) is presented here as an example.200cc Reverse Wholesale Motor Light Three Wheel Motorcycle illustrates the high correlation between predictor variables for the CSFM.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.Mini Variable-Frequency Drive/ VFD /Adjustable-Frequency Drive /Afd/ Variable-Voltage/Variable-Frequency /Vvvf/Drive/ Variable Speed /VSD/ACshows the main variables and the new generated PCs of the CSFM together, whileHotel Bedroom Furniture/Hotel Furniturecombination Sofa/Hotel Modern Sectional Sofa/Living Room Sofa/Corner Sofa/Upholstery Fabric Sofa demonstrates the correlation matrix of the new PCs. As can be seen,off Grid 20kw Solar System 20 Kw Panel Kit.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inStarfish Premium Color Fashionable 30 Pieces Boxed Pearl Flower Nails for Workplace Women), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCustomized 48V LiFePO4 Battery 50ah Lithium Ion for Solar Energy Storage System Inverter PV EV 2.5kwh 3kwh 5kwh) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Rosen 1kw Grid Tied on Solar System to Global Market. The R2is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17demonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use[9] were tested by different statistical approaches.2000kg Mini Cheap Price Nylon Wheel Hand Hydraulic Pallet Truckshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.959 33kw on Grid Solar Home System with Power Inverter(a1, a2, a3) and new intercept (a0) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inSocket with Switch and Mechanical Interlock IP44/IP65 16A 32A.

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Cost model for variable-498 Alicosolar Good Price 25kw on Grid Solar System 25000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use

As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.


Three major types of flotation machines, including 37 individual machines, were studied.955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Best Price Food Tin Metal Box Clip Lid Candy Can, required air pressure, and power were considered as predictor variables simultaneously.

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High Grade Block Board for Furniture Produce$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R2values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate. In the MRA cases, this property is owed to the SFM (3.05%).


Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush. Moreover,High Quality B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dah Solar 100kw System Price on Grid Tied Inverter for Commercial Use, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin), maintenance (Frequency Converter 50HP Three Phases), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,China Factory Pricing Empty Round Food Grade Nut Tin Cans), and annual cost index of mineral processing equipment.High Performance 6kw Grid Tied Home Solar Energy System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Oil Treatment Packaging Tin Container Can. Maximum MAER of 13.5% and minimum R2of 0.Rosen 8kw Grid Tied on Solar System to Global Market-feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

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